An experiment can result in one of five equally likely simple events, E,, E, E. Events A, B, and Care defined as follows. A: E,, E, P(A) - 0.4 B: E, E,, E, E, P(B) = 0.8 C: E,, E, P(C) - 0.4 Refer to the following probabilities. P(AN B) - 0.2 P(A|B) - 0.25 P(B|A) = 0.5 P(B U C) - 1 P(B|C) - 0.5 P(C|B) - 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(A U B) P(A U B) - -Select-- + -Select-- V- -Select-- V- (b) P(A N B) P(AN B) --Select--- V P(B) - (c) P(BnC) P(B n C) = -Selact- V) . P(C) = Do the results agree vwith those obtained by listing the simple events in each? P(A U B) = P({E,, E,, E,, E,, E,}) = 1 P(A N B) = P({E,}) = 0.2 P(B n C) = P({E,}) = 0.2 O Yes O No

An experiment can result in one of five equally likely simple events, E,, E, E. Events A, B, and Care defined as follows. A: E,, E, P(A) - 0.4 B: E, E,, E, E, P(B) = 0.8 C: E,, E, P(C) - 0.4 Refer to the following probabilities. P(AN B) - 0.2 P(A|B) - 0.25 P(B|A) = 0.5 P(B U C) - 1 P(B|C) - 0.5 P(C|B) - 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(A U B) P(A U B) - -Select-- + -Select-- V- -Select-- V- (b) P(A N B) P(AN B) --Select--- V P(B) - (c) P(BnC) P(B n C) = -Selact- V) . P(C) = Do the results agree vwith those obtained by listing the simple events in each? P(A U B) = P({E,, E,, E,, E,, E,}) = 1 P(A N B) = P({E,}) = 0.2 P(B n C) = P({E,}) = 0.2 O Yes O No

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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